4761792 has 84 divisors (see below), whose sum is σ = 15611856. Its totient is φ = 1359360.

The previous prime is 4761791. The next prime is 4761803. The reversal of 4761792 is 2971674.

It is a happy number.

4761792 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4761791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3442 + ... + 4622.

Almost surely, 2^4761792 is an apocalyptic number.

4761792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805928).

4761792 is an abundant number, since it is smaller than the sum of its proper divisors (10850064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4761792 is a wasteful number, since it uses less digits than its factorization.

4761792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1193 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 4761792 is about 2182.1530652088. The cubic root of 4761792 is about 168.2377585963.

The spelling of 4761792 in words is "four million, seven hundred sixty-one thousand, seven hundred ninety-two".